Below is a modified version of this script. It exports your stickies into separate txt files.

osascript <<'APPLESCRIPT'
set theName to ""
set i to 0
set n to {}
set L to {}
# prompt for output dir
set destFldr to (choose folder with prompt "Choose a destination folder:") as text
# hardcode output dir
#set destFldr to "/path/to/export/to/" as text
set mydestFldr to POSIX path of destFldr
tell application "Stickies"
activate
tell application "System Events"
tell application process "Stickies"
set L to name of every window
try
repeat with awindow in L
set m to value of text area 1 of scroll area 1 of window awindow
set i to i + 1
set theName to "stickies" & "_" & i & ".txt" as string
set theFile to mydestFldr & theName
do shell script "/bin/echo " & quoted form of m & " > " & quoted form of theFile
end repeat
end try
end tell
end tell
# display dialog "done"
tell application "Finder"
activate
open destFldr
end tell
end tell
APPLESCRIPT

Note that this will only grab all the stickies from the current Mac 'Space'.